# Amitsur Algebra: Michael Larsen (Indiana U)

Title: Character values on compact simple Lie groups
Abstract: This work is part of a joint project with Aner and others to find upper bounds for values of irreducible characters in two related settings: compact simple Lie groups and finite groups of Lie type. I will discuss the first case, presenting bounds of the form
$$|\chi(g)| = O(\chi(1)^\alpha),$$
where g is a fixed element of G, $\chi$ ranges over irreducible characters of G, and $\alpha$ is a rational constant depending only on the centralizer of g. There are applications to covering number problems and mixing time estimates for random walks.

## Date:

Thu, 24/12/2015 - 12:00 to 13:15

## Location:

Manchester Building (room 209), Jerusalem, Israel